What is the integral from 0 to L of x ?

The integral from 0 to L of x is (L^2)/2

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integral from 0 to L of x

\int_{0}^{L} x d x

\frac{L ^{2}}{2}

Solution steps

\int_{0}^{L} x d x

Apply the Power Rule

: [\frac{x ^{2}}{2}]_{0}^{L}

= [\frac{x ^{2}}{2}]_{0}^{L}

Compute the boundaries:

\frac{L ^{2}}{2}

= \frac{L ^{2}}{2}

y^{^{'}} + 4 y = x^{2}

\int_{- 21}^{0} \frac{1}{4 - x} d x

\int 8 cos (x) d x

\int_{0}^{2} 10 x^{3} x^{2} + 4 d x

\frac{d ^{2} y}{d x ^{2}} + 2 \frac{d y}{d x} - 3 y = 2 x - 17

What is the integral from 0 to L of x ?
The integral from 0 to L of x is (L^2)/2